Choose the one alternative that best completes the statement or answers the question.
Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on.
-$$\frac { 10 } { x ^ { 2 } - 6 x }$$
A) $\frac { A } { x } + \frac { B } { x - 6 }$
B) $\frac { A } { x ^ { 2 } } + \frac { B } { x } + \frac { C } { x - 6 }$
C) $\frac { A } { x ^ { 2 } } - \frac { B } { - 6 x }$
D) $\frac { A } { x ^ { 2 } } + \frac { B } { x - 6 }$

Question

Quizplus · Accepted Answer

The denominator $x^2 - 6x$ can be factored as $x(x - 6)$, so the partial fraction decomposition should involve terms with denominators $x$ and $x - 6$, which matches option A.

Choose the One Alternative That Best Completes the Statement or Answers